Question

find value of x in the given diagram​

Answer 1

let one angle is y

y+122=180 (linear pair)

y=58

let one angle z

z+112=180

z=68

so, x+68+58+132=360

x+258=360

x=102°

Answer 2

Answer:

X = 102°

Step-by-step explanation:

just make the figure clear here outer angles are given one is 112 and 122 as we know straight angle is of 180 so we will subtract both with 180 degree differently.

180-122=58 (eq1)

180-112=68 ( eq2)

now we have got all 3 angles of a quadrilateral as we know the sum of all all angles in a quadrilateral is 360 degree so we have to add equation one equation 2 and 132.

(eq1)+(eq2)+132°=360°

68 + 58 + 132 + x =360

258 + x= 360

x = 102°

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